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Finding the Fourth Proportional to 741.16, 1,112.28 and 549.28

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Solution

The fourth proportional to 741.16, 1,112.28 and 549.28 is: 824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.16 : 1,112.28 = 549.28 : x
  2. Step 2: Convert to fraction form
    741.16/1,112.28 = 549.28/x
  3. Step 3: Cross multiply
    741.16x = 1,112.28 × 549.28
  4. Step 4: Simplify right side
    741.16x = 610,953.16
  5. Step 5: Solve for x
    x = 610,953.16/741.16
  6. Step 6: Final answer
    x = 824.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.